Definition: In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
Input: 2, 12, ['4265', '7681', '1383', '6255', 'g', 'l', '1377', 'Y', '9103', 'l', '4769', '6393']

36961